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Name: _______________________Date: _______________________
Addition Modeling Lab
PART ONE -- NUMBER LINESExamples:
Use the below number lines to model the given addition problems:
1. 4 + 3 = _____
2. 7 + (-3) = _____
3. -6 + (-3) = _____
4. -10 + 2 = _____
5. -2 + (-6)= _____
PURPOSE: To practice adding integers with both number lines and algebra tiles.
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6. -4 + 7 = _____
7. -7 + (-1) = _____
8. -6 + 8 = _____
9. 10 + (-8) = _____
10. 1 + (-5)= _____
11. -3 + 0 = _____
12. -9 + (-1) = _____
13. -3 + 9 = ______
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Directions:Draw tiles onto below mats in order to model given problems (you may use “+” signs
for positives and “-” signs for negatives:
Adding Two Positives:
1. Represent 2 + 5 in the mat below. 2. Represent 8 + 3 in the mat below.2 + 5 = ______ 8 + 3= ______
3. Represent 9 + 0 in the mat below. 4. Represent 4 + 6 in the mat below. 9 + 0 = ______ 4 + 6= ______
5. What do you notice about all of your above answers?
6. In the space below, write a rule for adding two positive numbers.
PART TWO – Algebra Tiles
Example: 7 + 12 = 19
Key:
= Positive = Negative
ADDING “SAME” SIGNS:
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Adding Two Negatives:
7. Represent -3 + -4 in the mat below. 8. Represent -1 + -8 in the mat below. -3 + -4 = ______ -1 + -8 = ______
9. Represent -6 + -5 in the mat below. 10. Represent -9 + -7 in the mat below. -6 + -5 = ______ -9 + -7 = ______
11. What do you notice about all of the above answers?
12. In the space below, write a rule for adding two negatives.
13. Write a rule that works for both adding two positives and adding two negatives.
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Example: 6 + (-3) = 3
1. In your own words, define zero pair.
2. When adding a positive # and a negative #, will you always have zero pairs?
3. Represent -2 + 1 in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem ? ____
What is the solution to -2 + 1? ____
4. Represent 4 + (-1) in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem? ____
What is the solution to 4 + (-1 )? ____
5. Represent -5 + 3 in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem? ____
What is the solution to -5 + 3? ____
Key:
= Positive = Negative
The zero pairs are circled. We remove zero pairs!
Step One:
Step Two:
Answer:
ADDING “DIFFERENT” SIGNS:
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6. Represent -4 + 9 in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem ? _____ What is the solution to -4 + 9 ? _____
7. Represent 2 + (-3) in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to 2 + (-3) ? _____
8. Represent -2 + 8 in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to -2 + 8 ? _____
9. Represent 3 + (-5) in the mat to the right. Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to 3 + (-5) ? _____
10. Why are some answers positive and some answers negative?
11. How can you predict the sign of the sum (answer) before you actually “do the math”?
12. Write a rule that works for adding integers with different signs.
In your opinion, which method is better– number lines or algebra tiles? Why?
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Represent the following problems on the given number lines:
1. -2 + 6 = ………..
2. -4 + -2 = ……….
3. -5 + 3 = ……….
4. 2 + 5 = ……….
5. 9 + (-4) = ……….
6. -3 + (-4) = ……….
7. -8 + (-1) = ……….
8. 5 + (-4) = ……….
9. 3 + 6 = ……….
10. -1 + (-6) = ……….
Math-7 PRACTICE DATE: ______/_______/_______NAME:__________________________
“ADDITION MODELING”
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Directions: Draw tiles onto below mats in order to model the given problems :
1. 4 + (-3) = _____
2. -8 + (-4) = _____
3. 7 + 5 = _____
4. -12 + (3) = _____
5. 9 + (-2) = _____
6. -7 + (-6) = _____
Key: + = Positive - = Negative
Algebra Tiles Addition